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Finding the Third Proportional to 168,970 and 358,580

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Solution

The third proportional to 168,970 and 358,580 is: 760,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,970 : 358,580 = 358,580 : x
  2. Step 2: Convert to fraction form
    168,970/358,580 = 358,580/x
  3. Step 3: Cross multiply
    168,970x = 358,580 × 358,580
  4. Step 4: Simplify right side
    168,970x = 128,579,616,400
  5. Step 5: Solve for x
    x = 128,579,616,400/168,970
  6. Step 6: Final answer
    x = 760,961.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.